66 SOU^TIO PROBLEMATIS DIFFICILUMI 



ab-^ r-r iidhibcrc fiiflkict , ob tf/>f^<i 



&gbh ^ 



--bb) — {zff—^g)hh\ \ndc eriint triniiguli c:uhcti,l — 



-«" , 11 — —^ et hypoth. — — — . Sit igitiir ^~ 7 

 et tf— 9 entab— 63 • aa-bb—^^z, et ab[aa-bb), —63. 3» 

 =1:15.9.14— i.^ff—gg)hhy vndc fict />— 12^^ — 3 



et ^=2 ; crgo ;3 - 63 -H "^*;.^"'' leu ~ zr 63 H- 

 * ' r *~~ i idcoquc vcl xr =: -^ vel ^ — '-^ conlaiucntcr 

 triiingtilum quacfitum crit w. antc : 



I cath. nz :^ i II cath. ^ It. m hypot. = i^:. 



Excniplum. ^. 



§. 32. Qiio vfus tabul.ic §. 29. cxhibi<nc clnrius pcr- 

 Ipicidtur , fiimamus pro a ^.i b maiorcs numcros, fitquc 

 b—^i ct <7zi 1 12 , vt fit <7^ zi: 7. 16. 4.1 • aa-bb — 

 71. 9. 17 crit ab[aa — bb) — \6. 9. 7. 17. +1. 71 — 



( '£-&^ fjfy^ ti h—^iz atquc 7. 17. +1 . 71 — ^2i/ -.u.?. 

 Atclt 7— 3*-2.i'; 17 — 2.3*-!' ;4.i — 7*-2.2'; 

 71 —2.6*- I ' , vndc fit 7. 41 — (21 -+-2. 2)'-2(5 

 ^-7j*— i7'-2 i'::i2. 16'— i5%i7.7i— (2.18-f-^ 

 l)'— 2^6-^-3)*— 35'-2.3'=2. 32*— 29' Atquc 7. 



17 41 7i=(i7.35-2.3)*-2(m-35^'— 5 89'-2. 

 1(5*; crgo 7. 17. 41. 71 — 2. 573' — 557'. H.icc autcm 



rcdudio ad formam zti—uii innnitis aliis modis ficri 

 potclt , quonim fimplicidimu^ cft hic : 



7. 17. 41. 71- 2. 417 '-37' Mfit y — 4i7et^=37. 



Ergo 



